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Question
The area of a sector of angle θ° of a circle with radius R is ______.
Options
`(2pi"R"theta)/180`
`(pi"R"^2theta)/180`
`(2pi"R"theta)/360`
`(pi"R"^2theta)/360`
MCQ
Fill in the Blanks
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Solution
The area of a sector of angle θ° of a circle with radius R is `underlinebb((pi"R"^2theta)/360)`.
Explanation:
The full circle has area πR2 and corresponds to 360°.
A sector with central angle θ° has area proportional to its angle, so area = `(θ/360) xx πR^2` (θ in degrees).
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